Finding the Third Proportional to 142,953 and 209,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,953 : 209,653.50 = 209,653.50 : x
2. Step 2: Convert to fraction form
   142,953/209,653.50 = 209,653.50/x
3. Step 3: Cross multiply
   142,953x = 209,653.50 × 209,653.50
4. Step 4: Simplify right side
   142,953x = 43,954,590,062.25
5. Step 5: Solve for x
   x = 43,954,590,062.25/142,953
6. Step 6: Final answer
   x = 307,475.81